PHYSICS ANGULAR MOTION HELP

Question

1.) In the figure above, the two masses at the left are balanced by the mass at the right. Find mass m3. Diagram https://answers.yahoo.com/question/index;_ylt=AjANi.lJaS1PPq_oN6BCzuEM_dw4?qid=20150216162058AAe2zh4

 

 

2.) question content https://answers.yahoo.com/question/index;_ylt=AjANi.lJaS1PPq_oN6BCzuEM_dw4?qid=20150216161853AApIBSk

 

 

thank you so much 

Answer 1

Question 1

 

The masses on the left must be equal to the mass on the right in order for them to be balanced. In addition, the distance from the left corner of the balance to the center of the balance is 50 cm.  The distance from the right corner of the balance to the center of the balance is also 50 cm.   So

 

Total mass left = Total mass right

m₁ + m₂ = m₃

50 kg + 30 kg = m₃

       80 kg      = m₃

 

m₃ =  80 kg

 

Question 2

 

First we need to find the angle that is formed by the ground and the bottom of the ladder.

 

θ = tan^-1(y/x₁)       for  w_L

θ = tan^-1(y/x₂)       for  w_m

 

 

Once you find those respective angles, you can use trigonometry and Pythagorean theorem to find your unknowns.